Question

is this a right triangle? 18 30 24 screenshot 2025 - 09 - 22 133525.png no yes

Explanation:

Step1: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (the longest side) of a right - triangle, and \(a\) and \(b\) are the other two sides. Here, \(a = 18\), \(b=24\), and \(c = 30\).
Calculate \(a^{2}+b^{2}\):
\(18^{2}+24^{2}=324 + 576\)
\(=900\)
Calculate \(c^{2}\):
\(30^{2}=900\)

Step2: Compare \(a^{2}+b^{2}\) and \(c^{2}\)

Since \(18^{2}+24^{2}=30^{2}\) (because \(900 = 900\))

Answer:

yes